Answer: The probability that the project will be completed in 33 days or less is equal to<u> </u><u>0.73</u> .
Step-by-step explanation:
We assume that this is a normally distribution.
Given : The critical path length is 30 days .
i.e. Population mean =
Variance :
Then, standard deviation :
Z-score :
The value of z corresponding to 33 =
Now, the p-value =
Hence, the probability that the project will be completed in 33 days or less is equal to 0.73.
The probability that the transistor will last between 12 and 24 weeks is 0.424
X= lifetime of the transistor in weeks E(X)= 24 weeks
O,= 12 weeks
The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.
X~gamma()
E(X)=
=
=6 weeks
V(x)=
=24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X, ,
, False)
P()
P()
P()
P= 0.424
Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424
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